A certain civil engineering system comprises three components: A, B, and C that operate independent of each other. Each

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answerhappygod
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A certain civil engineering system comprises three components: A, B, and C that operate independent of each other. Each

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A certain civil engineering system comprises three components:A, B, and C that operate independent of each other.
Each component is vital in the operation of the system andfailure of anyone will result in failure of the entire system.
From past records, it has been determined that the probabilitiesof failure of the components are 0.0025, 0.0054, and 0.0035,respectively.
The probability that any two fail at the same time is 0.001 andthat all three fail at the same time is 0.0003.What is the probability that the system fails at any giventime?
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